Exercise 17.1
Question 1
(i) Atent $\rightarrow(g)$ Acone Surmounted on a cylinder
(ii) Atin $\longrightarrow(f)$ A cylindrical shell.
(iii) A bowl $\longrightarrow$ (b) A hemispherical shell.
(iv) An agricultural field $\rightarrow$ (a) A triangular field adjoining a square field
(v) A groove $\rightarrow$ (h) A cone taken out of a cylinder
(vi) A toy $\rightarrow$ (d) A hemispherical surmounted on a cone
(vii) A circular park $\rightarrow$ (e) A Circular path around a circular ground.
(viii) A Cross path $\rightarrow$ (c) Two rectangular cross-paths inside a rectangular park.
Question 2
(a) $\rightarrow(i i i) \rightarrow(y)$
(b) $\rightarrow(i) \rightarrow(v)$
(c) $\rightarrow(i ;) \rightarrow(u)$
(d) $\rightarrow(v i) \rightarrow(x)$
(e) $\rightarrow{(i v)} \rightarrow(z)$
(f) $\rightarrow(v) \rightarrow(\omega)$
Question 3
(i) Side view
(ii) Top view
(iii) Front view
Question 4
a) 1$\rangle$ front view (ii) Side view (iii) Top view
b) 1)rangle front view (ii) Top view (iii) side view
c) 1) Top view (ii) front view (iii) side view
d) 1) Front view (ii) side view (iii) Top view\
e) 1) Side view (ii) Top view (iii) Front view
F) 1) Side view (ii) Front view (iii) Top view
Question 5
a) i) Top view "(ii) Side view (iii) front view
b) i) sideview (ii) front view (iii) Top view
c) i)Top view (ii) Side view (iii) Front view
d) i) Side view (ii) Front view (iii) Top view
e) i) Front view (ii) Top view (iii)side view
Question 6
(diagram should be added)
Exercise 17.2
Question 1
(i) No
(ii) yes
(iii) yes
Question 2
only (ii), (iv) are prisms
Question 3
(i) Faces (F)=7
vertices (V)=10
Edges (E)}=15
Eulerls Formula
$\begin{aligned} F+V &=E+2 \\ 7+10 &=15+2 \\ 17 &=17 \end{aligned}$
$\therefore$ Euler's formula is Verified.
(ii) Faces $(F)=9$
vertices $(v)=9$
Edges $(E)=16$
Euler's formula
$F+V=E+2$
$9+9=16+2$
$18=18$
ஃ Euler's formula is verified.
(iii) Faces $F=7$
vertices $(v)=7$
Edges $E=12$
$f+v=E+2$
$7+7=12+2$
$14=14$
ஃ Euler's formula is verified.
(iv) Faces F)=9
vertices (v)=9
Edges (E)=16
$f+V=E+2$
$9+9=16+2$
$18=18$
ஃ Euler's formula is verified.
Question 4
F=15
V=20
E=30
F-1 V=15+20=35
E+2=3008=32
$F+V \neq E+2$
Voilating Eulerls formula
$\therefore$ Not possible
Question 5
$F=8$
$V=8$
Euer's formula
$\begin{aligned} F+V &=E+2 \\ 8+8 &=E+2 \\ 16 &=E+2 \\ E &=16-2 \\ E &=14 \end{aligned}$
$\therefore$ no.of edges $=14$
Question 6
$F=7$
$V=10$
Euler's formula
$\begin{aligned} F+V &=E+2 \\ 7+10 &=E+2 \\ \cdot 17 &=E+2 \\ E &=17-2 \\ E &=15\end{aligned}$
Question 7
(i) octahydral prism
Faces (F) = 10
Vertices (v) =16
Edges (E) = 24
(ii) Decagonal pyramid
Faces (F)=11
vertices (V)=11
Edges (E)=20
Question 8
(diagram should be added)
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